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12-31. The shaft is made of steel and has a diameter of 15 mm. Determine its maximum deflection. The bearings at A and B exert only vertical reactions on the shaft. Est = 200 GPa. -200 mm- 250 N 15 mm - 300 mm- Prob. 12-31 80 N -200 mm- B

12-31. The shaft is made of steel and has a diameter of 15 mm. Determine its maximum deflection. The bearings at A and B exert only vertical reactions on the shaft. Est = 200 GPa. -200 mm- 250 N 15 mm - 300 mm- Prob. 12-31 80 N -200 mm- B

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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### Problem Statement: **Problem 12-31:** The shaft is made of steel and has a diameter of 15 mm. Determine its maximum deflection. The bearings at points A and B exert only vertical reactions on the shaft. The modulus of elasticity for steel, \( E_{st} = 200 \, \text{GPa} \). --- ### Diagram Description: The diagram depicts a horizontal steel shaft supported by two bearings labeled as points A and B. The shaft has a diameter of 15 mm. It is subject to the following conditions: - The total length of the shaft between bearings A and B is 700 mm. - There are four bearing supports visible in the diagram, two at A and two at B. - Two distinct downward forces are applied to the shaft: - A force of 250 N is applied at a point 200 mm from bearing A. - A force of 80 N is applied at a point 300 mm to the right of the 250 N force and 200 mm from bearing B. The shaft is supported at two points, allowing it to experience vertical reactions due to the forces applied between these supports. The task is to determine the point of maximum deflection of the shaft under these conditions, influenced by the modulus of elasticity of steel, which is provided as \( E_{st} = 200 \, \text{GPa} \).
Transcribed Image Text:### Problem Statement: **Problem 12-31:** The shaft is made of steel and has a diameter of 15 mm. Determine its maximum deflection. The bearings at points A and B exert only vertical reactions on the shaft. The modulus of elasticity for steel, \( E_{st} = 200 \, \text{GPa} \). --- ### Diagram Description: The diagram depicts a horizontal steel shaft supported by two bearings labeled as points A and B. The shaft has a diameter of 15 mm. It is subject to the following conditions: - The total length of the shaft between bearings A and B is 700 mm. - There are four bearing supports visible in the diagram, two at A and two at B. - Two distinct downward forces are applied to the shaft: - A force of 250 N is applied at a point 200 mm from bearing A. - A force of 80 N is applied at a point 300 mm to the right of the 250 N force and 200 mm from bearing B. The shaft is supported at two points, allowing it to experience vertical reactions due to the forces applied between these supports. The task is to determine the point of maximum deflection of the shaft under these conditions, influenced by the modulus of elasticity of steel, which is provided as \( E_{st} = 200 \, \text{GPa} \).
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